Which represents the number 16,807 in exponential form

Complete the proof. Someone please help me answer this!

sammy [17]

Answer:

Step-by-step explanation:

Supplementary angles are two or more angles that add up to give the measure of angle on a straight line (i.e $180^{o}$ ).

It can be deduced from the given question that;

1. <1 and <2 are supplementary, also <1 and <3 are supplementary. Reason: as given in the question.

2. Given statements: m<1 + m<2 = $180^{o}$ , and m<1 + m<3 = $180^{o}$ . The reason is the definition of supplementary angles.

3. Statement: m<2 = m<3. The reason is a transitive property.

4. Statement: m<1 + m<2 = m<1 + m<3. The reason is subtraction property of equality.

5.Given statement: <2 ≅ <3. The reason is that definition of congruent angles.

Therefore, <2 ≅ <3.

3 0

3 years ago

A ball is thrown from an initial height of 1 meter with an initial upward velocity of 11 m/s. The ball's height h (in meters) af

bonufazy [111]

Answer:

$t=0.64$ and $t=1.56$ seconds

Step-by-step explanation:

$h=1+11t-5t^2\\\\6=1+11t-5t^2\\\\0=-5+11t-5t^2\\\\0=-5t^2+11t-5\\\\t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\ \\t=\frac{-11\pm\sqrt{11^2-4(-5)(-5)}}{2(-5)}\\\\t=\frac{-11\pm\sqrt{121-100}}{-10}\\ \\t=\frac{-11\pm\sqrt{21}}{-10}\\\\t=\frac{11}{10}\pm\frac{\sqrt{21}}{10}\\ \\t_1\approx0.64\\\\t_2\approx1.56$

Therefore, the values of t for which the ball's height is 6 meters is $t=0.64$ and $t=1.56$ seconds.

4 0

2 years ago

Leo is constructing a tangent line from point Q to circle P. What is his next step?

bezimeni [28]

Answer:

hello your question has a missing diagram attached below is the missing diagram

answer :

Mark the point of intersection S of circles R and P, and construct line QS ( option 2 )

Step-by-step explanation:

when constructing a tangent line from one point ( lets say Q as seen in the question ) to a circle P. The next step should be to mark a point of intersection between the given circles and then construct a line through it

6 0

3 years ago

Simply -3 3/4 divided by 2 1/2

Dima020 [189]

Answer:

$=-1\frac{1}{2}$

Step-by-step explanation:

Given the following question:

$-3\frac{3}{4} \div2\frac{1}{2}$

In order to find the answer, we first convert the mixed numbers into improper fractions. Then we use KCF (Keep, Change, Flip) and solve.

$-3\frac{3}{4} \div2\frac{1}{2}$
$-3\frac{3}{4} =12+3=-\frac{15}{4}$
$2\frac{1}{2}=2\times2=4+1=\frac{5}{2}$
$-\frac{15}{4} \div\frac{5}{2}$
$-\frac{15}{4} \times\frac{2}{5}$
$15\times2=30$
$4\times5=20$
$=-\frac{30}{20}$
$-\frac{30}{20} \div10=-\frac{3}{2}$
$-\frac{3}{2}=3\div2=-1\frac{1}{2}$
$=-1\frac{1}{2}$

Hope this helps.